SELF-SIMILAR SOLUTIONS OF FRAGMENTATION EQUATIONS REVISITED

被引：8
|
作者：
Biedrzycka, Weronika [1 ]
Tyran-Kaminska, Marta [1 ]
机构：
[1] Univ Silesia, Inst Math, PL-40007 Katowice, Poland
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 01期
关键词：
Piecewise deterministic Markov process; substochastic semigroup; strongly stable semigroup; fragmentation models; SUBSTOCHASTIC SEMIGROUPS; SHATTERING SOLUTIONS; ASYMPTOTIC-BEHAVIOR; MASS; DENSITIES;
D O I：
10.3934/dcdsb.2018002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the large time behaviour of the mass (size) of particles described by the fragmentation equation with homogeneous breakup kernel. We give necessary and sufficient conditions for the convergence of solutions to the unique self-similar solution.
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页码：13 / 27
页数：15
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